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Finding the Fourth Proportional to 14,043.14, 19,377.67 and 8,378.54

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Solution

The fourth proportional to 14,043.14, 19,377.67 and 8,378.54 is: 11,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,043.14 : 19,377.67 = 8,378.54 : x
  2. Step 2: Convert to fraction form
    14,043.14/19,377.67 = 8,378.54/x
  3. Step 3: Cross multiply
    14,043.14x = 19,377.67 × 8,378.54
  4. Step 4: Simplify right side
    14,043.14x = 162,356,541.31
  5. Step 5: Solve for x
    x = 162,356,541.31/14,043.14
  6. Step 6: Final answer
    x = 11,561.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.